Viscoelasticity of a homeotropic nematic slab

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Patrick Oswald

Abstract

The viscoelastic behavior of a homeotropic nematic slab is studied when it is subjected to a (dilation-compression) sinusoidal deformation of small amplitude (linear regime). I show that the nematic phase behaves as an isotropic liquid of viscosity η_{c} (ν_{3}) at low (high) frequency, where η_{c} is the third Miesowicz viscosity and ν_{3} a smaller viscosity first introduced by Martin, Parodi, and Pershan. The crossover frequency f^{☆} between these two asymptotic regimes scales as h^{2}/D, where h is the sample thickness and D=K_{3}/γ_{1} is the orientational diffusivity (with K_{3} the bend constant and γ_{1} the rotational viscosity). Between these two limits the sample behaves as a viscoelastic fluid whose elastic and loss moduli G^{'} and G^{''} are calculated. These predictions are tested experimentally with a piezoelectric rheometer.

References

Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P KahlL Noirez
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J AnanthaiahSurajit Dhara

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Citations

Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Patrick Oswald, Guilhem Poy
Jan 14, 2017·Physical Review. E·Stefano S Turzi
Jun 10, 2018·The European Physical Journal. E, Soft Matter·P Oswald, G Poy

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